Search a number
-
+
11130203104 = 254771104231
BaseRepresentation
bin10100101110110100…
…10110101111100000
31001201200102220022121
422113122112233200
5140243312444404
65040234514024
7542550110506
oct122732265740
931650386277
1011130203104
1147a1789369
1221a7595914
131084bb46c7
147782c4676
1545220ce54
hex297696be0

11130203104 has 48 divisors (see below), whose sum is σ = 22694224896. Its totient is φ = 5369929600.

The previous prime is 11130203099. The next prime is 11130203111. The reversal of 11130203104 is 40130203111.

It is a super-2 number, since 2×111302031042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54669 + ... + 158899.

It is an arithmetic number, because the mean of its divisors is an integer number (472796352).

Almost surely, 211130203104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347112448).

11130203104 is an abundant number, since it is smaller than the sum of its proper divisors (11564021792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11130203104 is a wasteful number, since it uses less digits than its factorization.

11130203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104359 (or 104351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11130203104 its reverse (40130203111), we get a palindrome (51260406215).

The spelling of 11130203104 in words is "eleven billion, one hundred thirty million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 71 94 142 188 284 376 568 752 1136 1504 2272 3337 6674 13348 26696 53392 104231 106784 208462 416924 833848 1667696 3335392 4898857 7400401 9797714 14800802 19595428 29601604 39190856 59203208 78381712 118406416 156763424 236812832 347818847 695637694 1391275388 2782550776 5565101552 11130203104